1.
(a) Find the equation if the tanget at the point P(8,2) on the parabola x^2 = 32y.
(b) If this tangent meets the tangent at the vertex of the parabola at Q, find the coordinates of Q.
I need help with (b).
2. The parabola y = 4x^2 is reflected in the line y = -3; obtain the equation of the reflected curve. (Hint: draw a sketch).
3. A parabolic reflector is of diameter 12cm at a depth of 4cm. Find the diameter of the reflector at a depth of 2cm.
4.
(a) For what values of 'a' is the point (4,3) a member of the solution set {(x,y) : x^2 = 4a(y+a)}?
(b) If the parabolas (for each value of a) intersect at the points L, M find the coordinates of L, M and prove the curves intersect at right angles.
need help with (b)
Thanks!
(a) Find the equation if the tanget at the point P(8,2) on the parabola x^2 = 32y.
(b) If this tangent meets the tangent at the vertex of the parabola at Q, find the coordinates of Q.
I need help with (b).
2. The parabola y = 4x^2 is reflected in the line y = -3; obtain the equation of the reflected curve. (Hint: draw a sketch).
3. A parabolic reflector is of diameter 12cm at a depth of 4cm. Find the diameter of the reflector at a depth of 2cm.
4.
(a) For what values of 'a' is the point (4,3) a member of the solution set {(x,y) : x^2 = 4a(y+a)}?
(b) If the parabolas (for each value of a) intersect at the points L, M find the coordinates of L, M and prove the curves intersect at right angles.
need help with (b)
Thanks!
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